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Assertion: An observer is moving due eas...

Assertion: An observer is moving due east and wind appears him to blow from north. Then the actual direction of air blow must be towards south-east
Reason: `vecV_(R)=vecV_(A)-vecV_(M)` where `vecV_(R)` is the relative velocity of wind w.r.t. man. `vecV_(A)=` actual velocity of wind (w.r.t. ground) and `vecV_(M)=` velocity of man w.r.t. ground.

A

If both assertion `&` Reason are True `&` the Reason is a corrrect explanation of the Asserion.

B

If both Assertion `&` Reason are True but Reason is not correct explanation of the Assertion.

C

If Assertion is Trie but the Reason is False.

D

If both Assertion `&` Reason are false

Text Solution

Verified by Experts

The correct Answer is:
D
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By the term velocity of rain, we mean velocity with which raindrops fall relative to the ground. In absence of wind, raindrops fall vertically and in presence of wind raindrops fall obliqucly. Moreover raindrops acquire a constant terminal velocity due air resistance very quickly as they fall toward the carth. A moving man relative to himself observes an altered velocity of raindrops. Which is known as velocity of rain relative to the man. It is given by the following equation. vec(v)_(rm)=vec(v)_(r)-vec(v)_(m) A standstill man relative to himself observes rain falling with velocity, which is equal to velocity of the raindrops relative to the ground. To protect himself a man should his umbrella against velocity of raindrops relative to himself as shown in the following figure. Rain is falling vertically with velocity 80 cm/s. (a) How should you hold your umbrella ? (b) You start walking towards the east with velocity 60 cm/s. How should you hold umbrella ? (c) You are walking towards the west with velocity 60 cm/s. How should you hold your umbrella ? (d) You are walking towards the north with velocity 60 cm/s. How should you hold your umbrella? (e) You are walking towards the south with velocity 80 cm/s. How should you hold your umbrella ?

By the term velocity of rain, we mean velocity with which raindrops fall relative to the ground. In absence of wind, raindrops fall vertically and in presence of wind raindrops fall obliqucly. Moreover raindrops acquire a constant terminal velocity due air resistance very quickly as they fall toward the carth. A moving man relative to himself observes an altered velocity of raindrops. Which is known as velocity of rain relative to the man. It is given by the following equation. vec(v)_(rm)=vec(v)_(r)-vec(v)_(m) A standstill man relative to himself observes rain falling with velocity, which is equal to velocity of the raindrops relative to the ground. To protect himself a man should his umbrella against velocity of raindrops relative to himself as shown in the following figure. When you are standstill in rain, you have to hold umbrella vertically to protect yourself. (a) When you walk with velocity 90 cm/s, you have to hold your umbrella at 53^(@) above the horizontal. What is velocity of the raindrops relative to the ground and relative to you ? (b) If you walk with speed 160 cm/s, how should you hold your umbrella ?

ALLEN -MOTION IN A PALNE-EXERCISE-3
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  2. Assertion: If a body is dropped from the top of a twoer of height h an...

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  3. Assertion: An observer is moving due east and wind appears him to blow...

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  4. Assertion: The distance and displacment both are equal when the partic...

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  5. Statement-I : Graph (1) represent one dimensional motion of a particle...

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  6. Assertion: In general |Displacement| le distance. Reason: The instan...

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  7. Assertion: In a free fall, the initially velocity of a boyd may or may...

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  8. Assertion: Distance is a actual length of the path but displacement is...

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  9. Assertion: Rest of a body is a relative term. Reason: Motion of a bo...

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  10. Assertion: If a body moves on a straight line, magnitude of its displa...

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  11. Assertion: Separation between two bodies moving in the same direction ...

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  12. Assertion: To cross the river in minimum time swimmer should swimming ...

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  13. Assertion: A body moving with constant acceleration always travels equ...

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  14. Assertion: A body,whatever its motion, is always at rest in a frame of...

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  15. Assertion : A body droped from a given height and another body project...

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  16. Statement-I : A projectile is thrown with an initial velocity of (ahat...

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  17. Assertion: If the positon vector of a particle moving in space is give...

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  18. Assertion: In projectile motion, when horizontal range is n times the ...

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  19. Assertion: Path of projected ball becomes parabolic in gravitational f...

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  20. Assertion: In projectile motion, the acceleration is constant in both ...

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